Logic for Contemporary Math

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Disjunctive syllogism

Back

A logical argument where one of the premises is a disjunction and the other premise negates one of the disjuncts, leading to the conclusion that the other disjunct must be true.

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What fallacy does the argument represent: If Katja worked hard in the class, then she received a good grade in the class. Katja received a good grade in the class. Conclusion: Katja worked hard in the class.

Back

Affirming the Consequent

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The fallacy of the converse is:

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A logical error where the converse of a true statement is assumed to be true

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What is the fallacy of the inverse?

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A logical error where the inverse of a conditional statement is assumed to be true

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What is a straw man argument?

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A type of logical fallacy where an opponent's argument is misrepresented to make it easier to attack

Front

What is the straw man fallacy?

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A type of argument that misrepresents an opponent's position

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Post hoc fallacy

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A logical fallacy where one assumes that if one event occurs after another, then the first event must have caused the second.

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What is Boolean logic?

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A type of algebra dealing with true or false values

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A conditional statement is:

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a statement that evaluates a condition and executes code based on the result

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What is a universal quantifier?

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A symbol used in logic to indicate that a statement applies to all elements of a domain